Question

∠i and ∠j are complementary and ∠k and ∠i are complementary. complete the proof that ∠k≅∠j.

statement	reason
2. ∠k and ∠i are complementary	given
3. m∠i + m∠j = 90°	definition of complementary angles
4. m∠k + m∠i = 90°	definition of complementary angles
5. m∠i + m∠j = m∠k + m∠i	transitive property of equality
6. m∠k = m∠j	properties of addition, subtraction, multiplication, and division
7. ∠k≅∠j

Explanation:

Step1: Recall angle - equality definition

If two angles have the same measure, they are congruent. Since \(m\angle K=m\angle J\) (from step 6), we can conclude that \(\angle K\cong\angle J\).

Answer:

Definition of congruent angles